73849 has 2 divisors, whose sum is σ = 73850. Its totient is φ = 73848.

The previous prime is 73847. The next prime is 73859. The reversal of 73849 is 94837.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 2025 = 268^2 + 45^2 .

It is an emirp because it is prime and its reverse (94837) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73849 - 2¹ = 73847 is a prime.

Together with 73847, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 73849.

It is not a weakly prime, because it can be changed into another prime (73847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36924 + 36925.

It is an arithmetic number, because the mean of its divisors is an integer number (36925).

2⁷³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

73849 is a deficient number, since it is larger than the sum of its proper divisors (1).

73849 is an equidigital number, since it uses as much as digits as its factorization.

73849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 73849 is about 271.7517249255. The cubic root of 73849 is about 41.9547888402.

Adding to 73849 its product of digits (6048), we get a palindrome (79897).

It can be divided in two parts, 738 and 49, that added together give a palindrome (787).

The spelling of 73849 in words is "seventy-three thousand, eight hundred forty-nine".